Generating and displaying spatially offset sub-frames

Abstract

A method of displaying an image with a display device includes receiving image data for the image. The method includes generating a plurality of sub-frames corresponding to the image data. The sub-frames are generated based on a set of spatially offset sub-frame positions, a first function that represents a simulated high resolution image, and a second function that represents a desired high resolution image. The method includes displaying the sub-frames at the set of spatially offset positions.

1. A method of displaying an image with a display device, the method comprising:
 receiving image data for the image; 
 generating a plurality of sub-frames corresponding to the image data, the sub-frames generated based on a set of spatially offset sub-frame positions, a first function that represents a simulated high resolution image that is based on the superimposition of sub-frames, and a second function that represents a desired high resolution image; and 
 displaying the sub-frames at the set of spatially offset positions. 
 
   
   
     2. The method of  claim 1 , wherein the first function includes a matrix for defining characteristics of a pixel grid for the sub-frames. 
   
   
     3. The method of  claim 1 , wherein the second function includes a matrix for defining characteristics of a pixel grid for the desired high resolution image. 
   
   
     4. The method of  claim 1 , wherein the first function includes a pixel shape function for defining characteristics of pixels of the sub-frames. 
   
   
     5. The method of  claim 1 , wherein the second function includes a pixel shape function for defining characteristics of pixels of the desired high resolution image. 
   
   
     6. The method of  claim 1 , wherein the sub-frames are generated based on an integral equation that includes the first function and the second function. 
   
   
     7. The method of  claim 6 , wherein an integrand of the integral equation includes a difference between the first function and the second function. 
   
   
     8. A system for displaying an image, the system comprising:
 a buffer adapted to receive image data for an image; 
 an image processing unit configured to define a set of sub-frames corresponding to the image data, the sub-frames defined based on a given plurality of spatially offset sub-frame positions, a first function that represents a simulated high resolution image that is based on the superimposition of sub-frames, and a second function that represents a desired high resolution image; and 
 a display device adapted to display the sub-frames at the plurality of spatially offset sub-frame positions. 
 
   
   
     9. The system of  claim 8 , wherein the first function includes a matrix for defining distances between grid points of a pixel grid for the sub-frames. 
   
   
     10. The system of  claim 8 , wherein the second function includes a matrix for defining distances between grid points of a pixel grid for the desired high resolution image. 
   
   
     11. The system of  claim 8 , wherein the first function includes a pixel shape function for defining a shape of pixels of the sub-frames. 
   
   
     12. The system of  claim 8 , wherein the second function includes a pixel shape function for defining a shape of pixels of the desired high resolution image. 
   
   
     13. The system of  claim 8 , wherein the sub-frames are generated based on an integral equation that includes the first function and the second function. 
   
   
     14. The system of  claim 13 , wherein an integrand of the integral equation includes a difference between the first function and the second function. 
   
   
     15. A system for generating low resolution sub-frames for display at spatially offset positions to generate the appearance of a high resolution image, the system comprising:
 means for receiving high resolution images; and 
 means for generating a plurality of low resolution sub-frames for each received high resolution image based on a given set of spatially offset sub-frame positions, a first function that represents a simulated high resolution image, and a second function that represents the received high resolution image that is based on the superimposition of sub-frames, and a second function that represents the received high resolution image. 
 
   
   
     16. The system of  claim 15 , wherein the first function includes a matrix for defining characteristics of a pixel grid for the sub-frames. 
   
   
     17. The system of  claim 15 , wherein the second function includes a matrix for defining characteristics of a pixel grid for the received high resolution images. 
   
   
     18. The system of  claim 15 , wherein the first function includes a pixel shape function for defining characteristics of pixels of the sub-frames. 
   
   
     19. The system of  claim 15 , wherein the second function includes a pixel shape function for defining characteristics of pixels of the received high resolution images. 
   
   
     20. The system of  claim 15 , wherein the sub-frames are generated based on an integral equation that includes the first function and the second function. 
   
   
     21. The system of  claim 20 , wherein an integrand of the integral equation includes a difference between the first function and the second function. 
   
   
     22. A computer-readable medium having computer-executable instructions for performing a method of generating low resolution sub-frames for display at spatially offset sub-frame positions to give the appearance of a high resolution image, comprising:
 receiving a high resolution image; and 
 generating a plurality of low resolution sub-frames corresponding to the high resolution image based on a given set of spatially offset sub-frame positions, a first function that represents a simulated high resolution image that is based on the superimposition of sub-frames, and a second function that represents the received high resolution image. 
 
   
   
     23. The computer-readable medium of  claim 22 , wherein the first function includes a matrix for defining characteristics of a pixel grid for the sub-frames. 
   
   
     24. The computer-readable medium of  claim 22 , wherein the second function includes a matrix for defining characteristics of a pixel grid for the received high resolution image. 
   
   
     25. The computer-readable medium of  claim 22 , wherein the first function includes a pixel shape function for defining characteristics of pixels of the sub-frames. 
   
   
     26. The computer-readable medium of  claim 22 , wherein the second function includes a pixel shape function for defining characteristics of pixels of the received high resolution image. 
   
   
     27. The computer-readable medium of  claim 22 , wherein the sub-frames are generated based on an integral equation that includes the first function and the second function. 
   
   
     28. The computer-readable medium of  claim 27 , wherein an integrand of the integral equation includes a difference between the first function and the second function. 
   
   
     29. A method of generating low resolution sub-frames for display at spatially offset positions to generate the appearance of a high resolution image, the method comprising:
 receiving a high resolution image; 
 defining a simulated high resolution image based on low resolution sub-frame pixel values and amounts of overlap of low resolution sub-frame pixels; and 
 generating a plurality of low resolution sub-frames based on minimization of a difference between the simulated high resolution image and the received high resolution image. 
 
   
   
     30. A system for displaying an image, the system comprising:
 a buffer adapted to receive image data for an image; 
 an image processing unit configured define a simulated high resolution image based on low resolution sub-frame pixel values and amounts of overlap of low resolution sub-frame pixels, and define a plurality of low resolution sub-frames based on minimization of a difference between the simulated high resolution image and the received image data; and 
 a display device adapted to display the sub-frames at spatially offset sub-frame positions.